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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2024, Shift 1, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

If the set

R=\{(a,b): a+5b=42, a,b\in\mathbb{N}\}

has

m

elements and

\sum_{n=1}^{m}\left(1-i^{n!}\right)=x+iy

, where

i=\sqrt{-1}

, then the value of

m+x+y

is

(1) $12$ Official answer
(2) $8$
(3) $5$
(4) $4$

Official answer

Option 1

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.